Find roots of 5m² + 18m + 16 = 0 

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 09 Jun, 2025 Shift 1)
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  1.  and 2
  2.  and 4
  3.  and -2
  4.  and -4

Answer (Detailed Solution Below)

Option 3 : -  and -2
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RRB NTPC Graduate Level Full Test - 01
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Detailed Solution

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Given:

5m2 + 18m + 16 = 0

Calculation:

⇒ 5m2 + 18m + 16 = 0

⇒ 5m2 + 10m + 8m + 16 = 0

⇒ 5m(m + 2) + 8(m + 2) = 0

⇒ (5m + 8)(m + 2) = 0

⇒ 5m + 8 = 0 or m + 2 = 0

⇒ m = -8/5 or m = -2

∴ The roots are -8/5 and -2.

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